A unital separable C\(^*\) -algebra \(A\)  is said to be approximately divisible if there exists, for each \(N \in \mathbb {N}\) , an approximately central sequence of unital \(*\) -homomorphisms \(\phi _n: \mathrm {M}_N(\mathbb {C}) \oplus \mathrm {M})_{N+1}(\mathbb {C}) \rightarrow A\)  ([1]}). It is shown in [1]} that the irrational rotation algebras are approximately divisible. Approximately divisible C\(^*\) -algebras are \(\mathcal {Z}\) -stable, and simple \(\mathcal {Z}\) -stable C\(^*\) -algebras have strict comparison of positive elements ([3]}, [4]}).
